Vector analysis homework question

In summary, the conversation discusses the setup of three electrons (q1, q2, and q3) in a right angled triangle and their respective charges and distances from each other. The participants then attempt to calculate the force acting on q1 using the cosine law, but question the inclusion of a 45 degree angle and a minus sign in their calculations. The conversation is then moved to a homework help forum for further assistance.
  • #1
chemboy
18
0
3 electrons q1, q2, q3 setup in a right angled triangle

q1
|\
| \
q3-q2

charges are

q1 = +2.5 X 10^-17C
q2 = +3.0 X 10^-17C
q3 = +3.5 X 10^-17C

distances between the charges
q1-q3 = .03 m
q1-q2 = .05 m

setup FBD

\
\ 2F1
\
/
/ 3F1
q1

2F1 = k*q1*q2 / .05^2
= 2.7 X 10^-21N
3F1 = k*q3*q1 / .03^2
= 8.75 X 10^-21N

now I think I use cosine law to figure this out

Fnet = 2F1^2 + 3F1^2 - 2(2F1)(3F1)cos45

is this going the right direction, or did I screw up my FBD
 
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  • #2
find the magnitude and direction of the force acting on q1
 
  • #4
chemboy said:
now I think I use cosine law to figure this out

Fnet = 2F1^2 + 3F1^2 - 2(2F1)(3F1)cos45

is this going the right direction, or did I screw up my FBD

Hi chemboy! :smile:

erm … where did 45º come from?

And are you sure that minus should be there? :smile:
 
  • #5
Thread moved to Homework Help forums.
 

Related to Vector analysis homework question

1. What is vector analysis?

Vector analysis is a branch of mathematics that deals with quantities that have both magnitude and direction, known as vectors. It involves performing calculations and manipulating vectors to solve problems in various fields such as physics, engineering, and computer graphics.

2. How is vector analysis applied in real life?

Vector analysis is used in many real-life applications, such as navigation systems, weather forecasting, and video game development. It is also used in physics to represent forces and motion, and in engineering to analyze structures and design mechanisms.

3. What are the basic operations in vector analysis?

The basic operations in vector analysis include addition, subtraction, scalar multiplication, dot product, and cross product. These operations allow us to manipulate vectors and solve various problems involving magnitude and direction.

4. What are the differences between a scalar and a vector?

A scalar is a quantity that has only magnitude, such as mass or temperature, while a vector has both magnitude and direction. Scalars can be added and subtracted using regular arithmetic, while vectors require special operations such as addition and dot product.

5. How can I improve my skills in vector analysis?

To improve your skills in vector analysis, it is important to practice solving problems and familiarize yourself with the basic concepts and operations. You can also seek help from textbooks, online resources, or a tutor to better understand the subject. Additionally, applying vector analysis in real-life situations can also help improve your skills.

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